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3 years ago

PLS SOMEONE HELP!! DUE TODAY

Mathematics

2 answers:

Kaylis [27]3 years ago

8 0

See photo. Hope it helps

Damm [24]3 years ago

3 0

Answer:

XZ > XY > YZ

Step-by-step explanation:

1. Approach

To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.

2. Find the value of (x)

The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,

m<X + m<Y + m<Z = 180

Substitute,

(50) + (5x + 10) + (5x) = 180

Simplify,

10x + 60 = 180

Inverse operations,

10x + 60 = 180

-60 -60

10x = 120

/10 /10

x = 12

3. Find the measure of each angle

Now substitute the value of (x) into the expressions given to represent the value of each angle.

m<X = 50

m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70

m<Z = 5x = 5(12) = 60

4. Now apply this to find the comparative lengths of the sides

One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.

m<Y = 70

m<Z = 60

m< X = 50

m<Y > m<Z > m<X

Side XZ is opposite m<Y

Side XY is opposite m<Z

Side YZ is opposite m<X

This means,

XZ > XY > YZ

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This is quite a complex problem. I wrote out a really nice solution but I can't work out how to put it on the website as the app is very poorly made. Still, I'll just have to type it all in...

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ln(y) = 3xln(x+8)

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This overall produces the equation:

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Neatening this up a bit, we factorise out 3/(x+8):

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Well wasn't that a marathon? It's a nightmare typing that in, I hope you can follow all the steps.

I hope this helped you :)

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